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Pattern analysis with two-dimensional spectral localisation: Applications of two-dimensional S transforms by L. Mansinha; R.G. Stockwell; R.P. Lowe is a Physics and Astronomy article available to read on EtoBox.

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An image is a fixnction, f(x,y), of the independent space variables x and y. The global Fourier spectrum of the image is a complex function F(kx,ky) of the wave numbers kx and ky. The global spectrum may be viewed as a construct of the spectra of an arbitrary number of segments of f(x, y), leading to the concept of a local spectrum at every point of f(x, y). The two-dimensional S transform is introduced here as a method of computation of the local spectrum at every point of an image. In addition to the variables x and y, the 2-D S transform retains the variables kx and ky, being a complex function of four variables. Visualisation of a function of four variables is difficult. We skirt around this by removing one degree of freedom, through examination of 'slices'. Each slice of the 2-D S transform would then be a complex function of three variables, with separate amplitude and phase components. By ranging through judiciously chosen slice locations the entire S transform can be examined. Images with strictly periodic patterns are best analysed with a global Fourier spectrum. On the other hand, the 2-D S transform would be more useful in spectral characterisation of aperiodic or random

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Author

L. Mansinha; R.G. Stockwell; R.P. Lowe

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0378-4371)

Published

1997

Language

EN

Field

Physics and Astronomy (Physical Sciences)